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nLab > Latest Changes: exercise

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 25th 2022
    • (edited May 25th 2022)

    touching this ancient and abandoned entry in reaction to the discussion here:

    I think an entry with this title deserves to exist (even if its current content is unsatisfactory). To make this point, I am cross-linking it now with all of the following entries which all exist (even though all of them leave a lot of room for improvement):

    In this vein, I have removed the category: meta-tag from this entry.

    diff, v4, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 25th 2022

    Hm, we have more along these lines. What’s the generic term for (most of) the following:

    ?

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 25th 2022
    • (edited May 25th 2022)

    Some of these, such as definition, theory, proposition are talking about logic.

    Others, like folklore and exercise, have no mathematics, and instead are talking about aspects of mathematical exposition. Perhaps we could have something like the latter article, which could, for example, explain how mathematical texts and presentation evolved in time.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 26th 2022
    • (edited May 26th 2022)

    All of these items are about forms of mathematical expression. We must not go by what the entries currently contain, but what they eventually ought to contain.

    A useful entry on exercise should point out that this term is sometimes (not so rarely, actually) used for much the same content as in a lemma/proposition/theorem, differing only by its attitude towards proof. Then it should list some famous examples of “exercises”, such as Milnor’s exercise.

    I’ll make such an edit now. But then I do need to take care of more important tasks…

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 26th 2022
    • (edited May 26th 2022)

    added a first sentence to set the scene.

    added a section “Examples”, so far with a single item: “Milnors exercise”.

    diff, v5, current

1 to 5 of 5

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